Shortcut Trick
The Selling Price (SP) represents the remaining percentage of the Marked Price (MP) after a discount is deducted.
If Discount = 18%, then SP = 100% − 18% = 82% of MP.
Given 82% of MP = ₹ 574
⇒ 1% of MP = 574 ÷ 82 = 7
⇒ 100% of MP = 7 × 100 = ₹ 700
∴ The correct answer is ₹ 700.
Alternate Method
Given:
Selling Price (SP) = ₹ 574
Discount Percentage = 18%
Formula Used:
Marked Price (MP) = [Selling Price × 100] ÷ [100 − Discount%]
Calculations:
⇒ MP = (574 × 100) ÷ (100 − 18)
⇒ MP = (574 × 100) ÷ 82
⇒ MP = 57400 ÷ 82
⇒ MP = 700
∴ The correct answer is ₹ 700.
Additional Information
Relationship between MP and SP
The Selling Price is always calculated on the Marked Price using the formula: SP = MP − Discount. The discount is typically a percentage of the MP.
Discount Value Calculation
The absolute Discount amount can be found using the formula: Discount = (Discount% ÷ 100) × Marked Price.
Successive Discounts
If two successive discounts of a% and b% are given, the Effective Discount is [a + b − (a × b ÷ 100)]%.